Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach −1°F.
An equation is
=−1.
It will take
hours to reach −1°F.
the starting temp is needed the create the equation
The equation to find x, the number of hours it will take to reach -1°F, is:
1:00 p.m. + x hours = -1°F
To solve for x, we need to isolate x on one side of the equation:
x hours = -1°F - 1:00 p.m.
Since we're starting at 1:00 p.m., we can express 1:00 p.m. in terms of temperature by using the given temperature change of -4 degrees Fahrenheit per hour.
1:00 p.m. = -4°F
Substituting this back into the equation, we have:
x hours = -1°F - (-4°F)
Simplifying the equation:
x hours = -1°F + 4°F
x hours = 3°F
Therefore, it will take 3 hours to reach -1°F.
To find how many hours it will take to reach -1°F, we can set up an equation.
Let's assume that the initial temperature is T0 at 1:00 p.m. and the temperature changes by -4 degrees Fahrenheit per hour. We want to find how many hours it will take for the temperature to reach -1°F.
The equation can be set up as:
T0 - 4x = -1
Where T0 is the initial temperature at 1:00 p.m., x is the number of hours, and -1 is the desired temperature.
To solve the equation, we need to isolate x. Let's rearrange the equation:
T0 - 4x = -1
Subtract T0 from both sides:
-4x = -1 - T0
Divide both sides by -4:
x = (-1 - T0) / -4
Using this equation, you can substitute the value of T0 and calculate the value of x, which represents the number of hours it will take for the temperature to reach -1°F.
starting at temperature T, solve
T-4x = -1